TITLE

Some new PDE methods for weak KAM theory

AUTHOR(S)
Evans, Lawrence C.
PUB. DATE
June 2003
SOURCE
Calculus of Variations & Partial Differential Equations;Jun2003, Vol. 17 Issue 2, p159
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We discuss a new approximate variational principle for weak KAM theory. The advantage of this approach is that we build both a minimizing measure and a solution of the generalized eikonal equation at the same time. Furthermore the approximations are smooth, and so we can derive some interesting formulas upon differentiating the Euler-Lagrange equation. Our method is inspired by the "calculus of variations in the sup-norm" ideas of Aronsson, Jensen, Barron and others.
ACCESSION #
13604313

 

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